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scalar matrix

/ˈskeɪlər ˈmeɪtrɪks/

翻译: 标量矩阵是一种对角矩阵,其所有主对角线上的元素都相等,等于某个标量与单位矩阵相乘的结果。

1 个条目

phrase

/ˈskeɪlər ˈmeɪtrɪks/C1formalscientific
  • zh标量矩阵是一种对角矩阵,其所有主对角线上的元素都相等,等于某个标量与单位矩阵相乘的结果。

A diagonal matrix in which all diagonal elements are equal, representing a scalar multiple of the identity matrix.

  1. Diagonal matrix with equal entriesC2formal

    A diagonal matrix where all diagonal elements are equal to the same scalar value, and all off-diagonal elements are zero.

    zh标量矩阵

    • The identity matrix is a special case of a scalar matrix where the scalar is 1.
    • Multiplying a vector by a scalar matrix scales each component by the same factor.
    • In linear algebra, a scalar matrix commutes with every other matrix of the same size.